We propose a new length-type functional on set-valued curves in probability spaces and we give an integral representation formula.

The paper deal with the problem of the competition/cooperation between infinites species

The papert deal whith a generalization of the well known Lie's series and contain some applications to the rapresentation of the solution of particular differential equations.

We consider the abstract study of the non convex fuzzy number to some well known functionals. Concrete application follows.

We show the existence of solutions for a second order ordinary differential equation coupled with a boundary value condition and an integral condition.

Closedness of the solution map is investigated for a sequence of parametric inequality related to a "limit" problem governed by a pseudomonotone bifunction. The main result gives sufficient conditions for closedness of the solution map defined on the set of parameters.

We consider some new properties of simple plane curves. Starting from a unusual (and metric) formulation of the tangent line, we prove that at every point of a plane curve there is at least a tangent direction. So, from a pure theoretical point of vue, it is possible to have many tangent directions at every point of a plane curve.